Skip to main content

Nature-Inspired Algorithms for the TSP

  • Conference paper
Intelligent Information Processing and Web Mining

Part of the book series: Advances in Soft Computing ((AINSC,volume 31))

  • 871 Accesses

Abstract

Three nature-inspired algorithms are applied to solve Travelling Salesman Problem (TSP). The first originally developed Multi-agent Evolutionary Algorithm (MAEA) is based on multi-agent interpretation of TSP problem. An agent is assigned to a single city and builds locally its neighbourhood — a subset of cities, which are considered as local candidates to a global solution of TSP. Creating cycles — global solutions of TSP is based on Ant Colonies (AC) paradigm. Found cycles are placed in Global Table and are evaluated by genetic algorithm (GA) to modify a rank of cities in local neighbourhood. MAEA is compared with two another algorithms: artificial immune — based system (AIS) and a standard AC — both applied to TSP. We present experimental results showing that MAEA outperforms both AIS and AC algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. de Castro L., N., Von Zuben F., J. (2000) The Clonal Selection Algorithm with Engineering Applications. Proc. of the Genetic and Evolutionary Computation Conference, Workshop on Artificial Immune Systems and Their Applications, 36–37

    Google Scholar 

  2. Fekete P., S., Fleischer R., Fraenkel A., Shmitt M. Traveling Salesman in the Presence of Competition. Theoretical Computer Science, Vol. 303, No. 3, 377–392

    Google Scholar 

  3. Gambardella L. M., Dorigo M. (1995) Ant-Q: A Reinforcement Learning approach to traveling salesman problem. Proceedings of ML-95, Twelfth International Conference on Machine Learning, 252–260

    Google Scholar 

  4. Glover F., Gutin G., Yeo A., Zverovich A. (2001) Construction heuristics for the asymmetric TSP. European Journal of Operational Research 129 555–568

    Article  MathSciNet  Google Scholar 

  5. Korte B. (1988) Applications of Combinatorial Optimization. in Talk at the 13th International Mathematical Programming Symposium, Tokyo

    Google Scholar 

  6. Merz P. Memetic Algorithms for Combinatorial Optimization Problems: Fitness Landscapes and Effective Search Strategies. PhD thesis, Department of Electrical Engineering and Computer Science, University of Siegen, Germany

    Google Scholar 

  7. Merz P., Freisleben B. (1997) Genetic Local Search for the TSP: New Results. Proceedings of The IEEE Conference on Evolutionary Computation, IEEE World Congress on Computational Intelligence

    Google Scholar 

  8. Merz P., Freisleben B. (2001) Memetic Algorithms for the Traveling Salesman Problem. Tech. Rep., Department of Computer Science, University of Siegen, Germany. Accepted for publication in Complex Systems

    Google Scholar 

  9. Nagata Y., Kobayashi S. (1997) Edge assembly crossover: A high-power genetic algorithm for the traveling salesman problem. In T. Black, editor, Proc. Of the 7th Int’l. Conf. on GAs, 450–457. Morgan Kaufmann

    Google Scholar 

  10. Shin S., Zhang B., Jun S. (1999) Solving Traveling Salesman Problems using Molecular Programming. Proceedings of the Congress on Evolutionary Computation, Washington, DC, Vol. 2, 994–1000

    Google Scholar 

  11. Stutzle T., Hoos H. (1997) Improvements on the Ant-System: Introducing the MAX-MIN Ant System. ICANNGA97 — Third International Conference on Artificial Neural Networks and Genetic Algorithms, University of East Anglia, Norwich, UK

    Google Scholar 

  12. Watkins C. Learning from Delayed Rewards. PhD thesis, Psychology Department, Cambridge University, Cambridge, England

    Google Scholar 

  13. Watson J., Ross C., Eisele V., Denton J., Bins J., Guerra C., Whitley D., Howe A. (1998) The Traveling Salesrep Problem, Edge Assembly Crossover, and 2-opt. Parallel Problem Solving from Nature–PPSN V, 5th International Conference, Amsterdam, The Netherlands, September 27–30

    Google Scholar 

  14. Zhang W. (2004) Phase Transitions and Backbones of the Asymmetric Traveling Salesman Problem. Journal of Artificial Intelligence Research 21, 471–497

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Skaruz, J., Seredyński, F., Gamus, M. (2005). Nature-Inspired Algorithms for the TSP. In: Kłopotek, M.A., Wierzchoń, S.T., Trojanowski, K. (eds) Intelligent Information Processing and Web Mining. Advances in Soft Computing, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32392-9_33

Download citation

  • DOI: https://doi.org/10.1007/3-540-32392-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25056-2

  • Online ISBN: 978-3-540-32392-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics